Simplify (4y^3)^2

${(4 y^{3})}^{2}$

Step 1

Apply the product rule to $4 y^{3}$ .

$4^{2} {(y^{3})}^{2}$

Step 2

Raise $4$ to the power of $2$ .

$16 {(y^{3})}^{2}$

Step 3

Multiply the exponents in ${(y^{3})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$16 y^{3 \cdot 2}$

Multiply $3$ by $2$ .

$16 y^{6}$